GCD of 399, 333, 969, 213 Calculator

Given Input numbers are 399, 333, 969, 213

In the factoring method, we have to find the divisors of all numbers

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 333 :

The positive integer divisors of 333 that completely divides 333 are.

1, 3, 9, 37, 111, 333

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (399, 333, 969, 213) = 3.

Given numbers are 399, 333, 969, 213

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

Prime factors of 333 are 3 x 3 x 37

Prime factors of 969 are 3 x 17 x 19

Prime factors of 213 are 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 399, 333, 969, 213 is 3.

Given numbers are 399, 333, 969, 213

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(399, 333) = 44289

GCD(399, 333) = ( 399 x 333 ) / 44289

= 399 / 333

= 399

Step2:

LCM(3, 969) = 969

GCD(3, 969) = ( 3 x 969 ) / 969

= 3 / 969

= 3

Step3:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

So, Greatest Common Divisor of 399, 333, 969, 213 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 259, 562, 287
• GCD of 584, 562, 418, 260
• GCD of 652, 862, 339, 295
• GCD of 417, 265, 672, 785
• GCD of 266, 645, 500, 185

Given numbers are 399, 333, 969, 213
The greatest common divisor of numbers 399, 333, 969, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 333, 969, 213 is 3.

1. What is the GCD of 399, 333, 969, 213?

GCD of given numbers 399, 333, 969, 213 is 3

2. How to calculate the greatest common divisor of 399, 333, 969, 213?

We can find the highest common divisor of 399, 333, 969, 213 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 399, 333, 969, 213 i.e 3.

3. How can I use the GCD of 399, 333, 969, 213Calculator?

Out the numbers 399, 333, 969, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.